Geodesic
Computation of the longest segment of a~given direction in a~simplex
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 147-152.

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Let $S$ be a nondegenerate simplex in $\mathbb R^n$ and let $v$ be a nonzero $n$-dimensional vector. We give the computational formulas for the length and endpoints of the longest segment in $S$ parallel to $v$. 
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     title = {Computation of the longest segment of a~given direction in a~simplex},
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M. V. Nevskii. Computation of the longest segment of a~given direction in a~simplex. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 147-152. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a10/

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